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A new finite element shallow water model on the sphere: Model setup, grid refinement, and boundary separation

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If you have a question about this talk, please contact Dr Nikolaos Nikiforakis.

We study the applicability of a new low order finite element in atmosphere and ocean modeling, and its performance on refined grids. The element is attractive because it satisfies a necessary stability criterion (the LBB condition) and is, at the same time, able to represent the crucially important geostrophic balance. The finite element is used to solve the viscous and inviscid shallow water equations on a rotating sphere. We test the model on the typical set of shallow water test cases, and investigate the errors caused by grid refinement, such as reflections and scatterings, but also the scope of improvements possible with a deliberated use of grid refinement. I will finish the talk with some slides on boundary separation of geophysical flows, considered from a dynamical systems point of view.

This talk is part of the Laboratory for Scientific Computing series.

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